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Provide solution for RD Sharma maths class 12 chapter 4 Algebra of Matrices exercise Fill in the blank question 30

Answers (1)

Answer:

 kA is skew symmetric Metrix

Hint:

 Use the concept of skew-symmetric matrix

Given:

 A is skew symmetric Metrix

Solution:

Since A is skew symmetric Metrix

\begin{aligned} &-A=A^{T} \ldots .(1) \\ &k A=-k\left(A^{T}\right) \\ &\text { Or, } \\ &-k A=k A^{T} \end{aligned}

Hence, kA is skew symmetric matrix.

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Gurleen Kaur

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